Apstrakt: Na predavanju ce biti reci o nacinu na koji je Lie uveo pojam Lijeve grupe i algebre, kao i o ekvivalentnosti tog zasnivanja Lijevih grupa i nekih drugih. Predavanje je ispirisano sledecim Lijevim citatom: "The reason why I have postponed for so long these investigations, which are basic to my other work in this field, is essentially the following. I found these theories originally by synthetic considerations. But I soon realized that the synthetic method is for discovery, as difficult it is to give a clear exposition on synthetic investigations, which deal with objects that till now have almost exclusively been considered analytically. After long vacillations, I have decided to use a half synthetic, half analytic form. I hope my work will serve to bring justification to the synthetic method besides the analytical one".